Question

The function h(x) is defined by the equation h(x)= 4f(x)-12. Determine two different sets of transformations that could produce the graph of h(x) from the graph f(x). For each, specify two transformation and that order in which they occurred. As a hint, write h(x) in its factored form.

Answer 1

Answer:

First set:

1) stretch: parallel to y-axis, factor 4

2) translation: 12 units downwards

Second set:

1) translation: 3 units downwards

2) stretch: parallel to y-axis, factor 4

Step-by-step explanation:

f(x) = 4[f(x) - 3]

Answer 2

Answer:

First set:

1) stretch: parallel to y-axis, factor 4

2) translation: 12 units downwards

Second set:

1) translation: 3 units downwards

2) stretch: parallel to y-axis, factor 4

Step-by-step explanation: